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arXiv · gr-qc/9612023

Initial Data and the Final Fate of Inhomogeneous Dust Collapse

I. H. Dwivedi·P. S. Joshi
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Abstract

We examine here the relevance of the initial state of a collapsing dust cloud towards determining it's final fate in the course of a continuing gravitational collapse. It is shown that given any arbitrary matter distribution $M(r)$ for the cloud at the initial epoch, there is always a freedom to choose rest of the initial data, namely the initial velocities of the collapsing spherical shells, so that the collapse could result either in a black hole or a naked singularity depending on this choice. Thus, given the initial density profile, to achieve the desired end state of the gravitational collapse one has to give a suitable initial velocity to the cloud. We also characterize here a wide new family of black hole solutions resulting from inhomogeneous dust collapse. These configurations obey the usual energy conditions demanding the positivity of energy density.

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I. H. Dwivedi, P. S. Joshi. 1996-12-10. Initial Data and the Final Fate of Inhomogeneous Dust Collapse. https://doi.org/10.1088/0264-9381%2F14%2F5%2F024

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